Precise measurement of weight refers to repeated measurements taken for the weight of an object, in which all the results are very close to one another. They could all be wrong by the same value.
For example, suppose you have a pair of kitchen scales which show 100 grams when there is nothing on them. Suppose you weigh a single bag of flour several times. The results may be 601g, 600g, 601g, 602g, 599g. The results are all within 1 gram of 600 g indicating a high degree of precision. But a totally useless result since the result is not accurate: the true weight is 500 grams, and the zero error has displaced each measurement.
Actually, the weights should be given in Newtons (or millinewtons), not grams, which is a unit for measuring mass, but for the sake of simplicity I have indulged myself.
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What determines how precise a measurement is
It is precise if it is repeatable.
Is as exact as possible
tenth of a gram
The precise measurement is 5.7 mm for the first value and 3.6 m for the second value.